Question

The digits of a 2-digit number differ by 3. If the digits are interchanged and the
resulting number is added to the original number, we get 143. What can be the
original number?

Answer 1

Answer:

The original number is 85

Step-by-step explanation:

Let the digit in unit's place be y and the digit in the ten's place be x.

x-y = 3 (equation 1)

Therefore, number = 10x + y

If digits are interchanged, number = 10y + x.

(10x + y) + (10y + x) = 143

10x + x + 10y + y = 143

11x + 11y = 143

x + y = 13 (equation 2)

On adding the two equations:

x+y=13

x-y=3

_____

2x=16

x=8.

y = 5

Therefore, the original number = 85

I hope this helped, let me know if anything's wrong!